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     DLH Total Costs   94,000 18,552,825   100,750 19,123,325   102,150 21,986,000   80,000 17,888,000   87,000 17,888,625   96,500 18,052,625   88,500 18,184,325   119,000 20,737,000   96,000 18,606,650   88,200 18,642,850   93,500 18,854,000   95,000 18,845,875   100,500 18,841,750   95,500 18,870,550   97,000 18,907,675   101,150 18,917,100   99,500 20,746,375   96,650 19,068,275   83,000 19,264,875   91,850 19,248,100   91,250 19,367,600   98,500 19,777,050   110,500 19,785,375   99,000 19,921,275   109,000 19,906,775   101,000 19,999,375   81,600 20,126,550   80,400 20,390,850   86,000 20,376,500   115,500 20,398,050   92,650 20,574,050   97,950 20,567,150   91,000 20,606,925   98,000 20,696,675   120,000 20,619,150   101,500 20,756,850   92,000 20,873,100   82,000 21,007,375   116,000 21,057,775   90,500 21,210,675   98,250 18,187,375   105,500 21,259,100   104,000 21,431,000   105,000 19,151,500   106,000 20,831,825   100,000 21,685,650   99,350 20,723,050   104,400 20,130,600    

DATA SET 1

Observations DLH Total Costs
1 94,000 18,552,825
2 100,750 19,123,325
3 102,150 21,986,000
4 80,000 17,888,000
5 87,000 17,888,625
6 96,500 18,052,625
7 88,500 18,184,325
8 119,000 20,737,000
9 96,000 18,606,650
10 88,200 18,642,850
11 93,500 18,854,000
12 95,000 18,845,875
13 100,500 18,841,750
14 95,500 18,870,550
15 97,000 18,907,675
16 101,150 18,917,100
17 99,500 20,746,375
18 96,650 19,068,275
19 83,000 19,264,875
20 91,850 19,248,100
21 91,250 19,367,600
22 98,500 19,777,050
23 110,500 19,785,375
24 99,000 19,921,275
25 109,000 19,906,775
26 101,000 19,999,375
27 81,600 20,126,550
28 80,400 20,390,850
29 86,000 20,376,500
30 115,500 20,398,050
31 92,650 20,574,050
32 97,950 20,567,150
33 91,000 20,606,925
34 98,000 20,696,675
35 120,000 20,619,150
36 101,500 20,756,850
37 92,000 20,873,100
38 82,000 21,007,375
39 116,000 21,057,775
40 90,500 21,210,675
41 98,250 18,187,375
42 105,500 21,259,100
43 104,000 21,431,000
44 105,000 19,151,500
45 106,000 20,831,825
46 100,000 21,685,650
47 99,350 20,723,050
48 104,400 20,130,600

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Case 1 – Due February 20, 2022

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Case 2 – Due April 3, 2022

Case 1 and Case 2 are continuous cases. That is, Case 2 will build on the results of Case 1. For case 1 you will receive an email from me which includes two files: a written case and an Excel spreadsheet. Please make sure the company name for both files match. Also, please note that not all students will receive the same Case 1 and Case 2.

Before you start working on Case 1, I suggest that you go to the module created for Case 1 and Case 2. There you will find a recorded lecture that demonstrates how to perform correlations and regression analysis using Excel. You will need to be able to calculate correlations for both Case 1 and Case 2.

Case 1 will reinforce the learning objectives covered in chapters 2 and 3. You should use the provided Excel file to perform your calculations and analysis. Make sure your solution is easy to follow and well organized (see Excel hint file). After completing your quantitative analysis, develop a short paper summarizing your analysis, findings, any identified issues, and suggestions or alternatives. An example outline for this paper is provided in the Case 1 and 2 Canvas module. My expectation is the paper will be no longer than 2 – 3 pages. If you provide me a draft of your paper more than 4 days before the due date, I will provide you with some initial feedback.

Case 2 will use the activity-based costing information provided in Chapter 7 and will be provided to you once you submit your final paper and Excel file for Case 1. Otherwise, I will send out Case 2 to all remaining students on Monday, February 28. The Case 1 and Case 2 module in Canvas includes a lecture of a similar ABC exercise for your reference (ABC Example – Emerson Company).

As you work on these two cases, feel free to contact me with any questions. I will try to give you a timely response to your questions. Good luck!

Glenn

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Graphs

1) 2) 3)
Total Fixed Costs Total Variable Costs Total Costs
TC = a + bX
b = slope of line
a FC = a VC = bX a
b = slope of line
Units Produced Units Produced Units Produced
4)
Total Revenues
TR = pX
p = selling price per unit
Units Produced
5) C-V-P Graph TR = pX
p = selling price per unit
TC = a + bX
b = slope of line
BE ( Sales $)
a
BE (Units)

Breakeven

Example:
Total fixed costs (a) = 40,000
Variable cost per unit (b) = 6
Selling price per unit (p) = 10
Tax rate % 40%
1. What is the breakeven point in units?
2. What is the breakeven point in sales dollars?
At breakeven, TR = TC
Thus, BE (Units) = 10X = 40,000 + 6X where; X = BE (Units)
Then, 10X – 6X = 40,000
Then, (10 – 6)X = 40,000
Finally, X= 40,000 = 10,000 units
(10 – 6)
Now, BE (Sales Dollars) = 10,000 x $10 = 100,000
Check it!
Sales 100,000 10,000 X $10
Less: variable costs 60,000 10,000 x $6
Contribution margin 40,000
Less: fixed costs 40,000
Operating income 0
Less: income taxes expense 0
Net income 0
It Checks!

Target Pretax Profit

What sales in units and dollars will provide a pretax (operating) income of $20,000? 20,000
Let's start off using the Contribution Income Statement and filling in what we know.
Sales = 10 X
Less: variable costs = 6 X
Contribution margin 60,000 = 4 X 60,000 = 4 X
Less: fixed costs 40,000 15,000 = X
Operating income 20,000
Let's check our answers!
Sales 150,000 = 10 X 15,000
Less: variable costs 90,000 = 6 X 15,000
Contribution margin 60,000 = 4 X 15,000
Less: fixed costs 40,000
Operating income 20,000
Less: income taxes expense 8,000 = 0.40 X Operating income
Net income 12,000
Sales in units will be 15,000 Units
Sales in dollars will be $150,000

Target NI

What sales in units and dollars will provide an after-tax or net income of $18,000? 18,000
Let's start off using the Contribution Income Statement and filling in what we know.
Sales = 10 X
Less: variable costs = 6 X
Contribution margin 70,000 = 4 X 70,000 = 4 X
Less: fixed costs 40,000 17,500 = X
Operating income 30,000 = 1.00 P
Less: income taxes expense = 0.40 P
Net income 18,000 = 0.60 P 18,000 = 0.60 P
30,000 = P
Let's check our answers!
Sales 175,000 = 10 X 17,500
Less: variable costs 105,000 = 6 X 17,500
Contribution margin 70,000 = 4 X 17,500
Less: fixed costs 40,000
Operating income 30,000
Less: income taxes expense 12,000 = 0.40 X Operating income
Net income 18,000
Sales in units will be 17,500 Units
Sales in dollars will be $175,000

Target % Pretax

What sales in dollars will provide a pretax (operating) income equal to 20 percent of sales dollars? 0.20
Let's start off using the Contribution Income Statement and filling in what we know.
Sales = 1.00 X
Less: variable costs = 0.60 X
Contribution margin 40,000 + 0.20 X = 0.40 X 40,000 + 0.20 X = 0.40 X
Less: fixed costs 40,000 40,000 = 0.20 X
Operating income 0.20 X 200,000 = X
Let's check our answers!
Sales 200,000 = 1.00 X 200,000
Less: variable costs 120,000 = 0.60 X 200,000
Contribution margin 80,000 = 0.40 X 200,000
Less: fixed costs 40,000
Operating income 40,000
Less: income taxes expense 16,000 = 0.40 X Operating income
Net income 24,000
It checks out! $40,000 of operating income is equal to 20 percent of $200,000 in sales!
Sales in units will be 20,000 Units
Sales in dollars will be $200,000

Target % NI

What sales in dollars will provide an after-tax or net income equal to 18 percent of sales in dollars? 0.18
Let's start off using the Contribution Income Statement and filling in what we know.
Sales = 1.00 X
Less: variable costs = 0.60 X
Contribution margin 40,000 + 0.30 X = 0.40 X 40,000 + 0.30 X = 0.40 X
Less: fixed costs 40,000 40,000 = 0.10 X
Operating income 0.30 X = 1.00 P 400,000 = X
Less: income taxes expenses = 0.40 P
Net income 0.18 X = 0.60 P 0.18 X = 0.60 P
0.30 X = P
Let's check our answers!
Sales 400,000 = 1.00 X 400,000
Less: variable costs 240,000 = 0.60 X 400,000
Contribution margin 160,000 = 0.40 X 400,000
Less: fixed costs 40,000
Operating income 120,000
Less: income taxes expense 48,000 = 0.40 X Operating income
Net income 72,000
It checks out! $72,000 of net income is equal to 18 percent of $200,000 in sales!
Sales in units will be 40,000 Units
Sales in dollars will be $400,000

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APPLE TIRE COMPANY

INTRODUCTION

Though it is nearly impossible to calculate the precise cost of a manufactured product, businesses make every effort to determine the most accurate cost estimates for decision-making purposes. This case illustrates the difference in a traditional costing system using a single overhead rate and an activity-based costing system.

Direct materials and direct labor are costs that are directly traceable to the actual product and, therefore, are the simplest costs to include in product cost approximations. In contrast, overhead costs are indirect costs that cannot be readily traced to specific products so companies must allocate these costs to products on an estimated basis using either a traditional costing system or activity-based costing (Kimmel, Weygandt, & Kieso, 2016).

Traditional cost accounting systems accumulate overhead costs into one or more cost pools and then allocate the overhead costs to individual products using an allocation base such as direct labor cost or hours, machine hours, or the number of units. These allocation bases are increasingly viewed as arbitrary as they seldom represent a product’s use of resources in complex manufacturing processes (Eldenburg & Wolcott, 2011). As a result, organizations that use a traditional costing system may experience substantial product cost distortions due to the lack of correlation between the allocation bases and overhead costs (Kimmel, Weygandt, & Kieso, 2016).

Activity-based costing (ABC) is a system that allocates overhead costs to distinct tasks or activities (activity cost pools) performed in a manufacturing process. The overhead costs in the cost pools are then assigned to specific products employing cost drivers that reflect each product’s use of the activities. Thus, ABC utilizes multiple activity cost pools and cost drivers that increase the accuracy of product costs (Eldenburg & Wolcott, 2011).

COMPANY INFORMATION

Apple Tire Company (ATC) is a manufacturing company that produces tires and manufactures over 200 different tires and sizes in its Memphis plant. In 2018, ATC automated the Memphis, Tennessee plant to take advantage of reasonably priced cutting-edge technology. Before automation, ATC used a single plantwide rate to allocate conversion costs using direct labor hours. At that time, the correlation between conversion costs and direct labor hours was 0.842. Because of the technological improvements, the number of direct labor hours was cut in half.

Alfred Olson, the Controller at ATC, was concerned with the accuracy of the assignment of product costs. Alfred had recently attended a seminar on activity-based costing and was interested in how it may improve ATC’s ability to assign indirect costs to the tires and thus may likewise enhance its pricing decisions.

James Jetter is the Chief Executive Officer (CEO) of ATC in Memphis, Tennessee. Before becoming the CEO in 2012, he served as the Chief Operating Officer (COO) for 8 years. ATC has its international headquarters in Memphis, Tennessee. Currently, ATC has three manufacturing plants in the United States, as well as a plant in Cortez, Mexico. The other two locations in the United States are in Casper, Wyoming and Cleveland, Ohio.

ATC manufactures tires in seven different tire types; all-season, light/medium truck, passenger, performance, summer, touring and winter. Additionally, ATC produces seven different brands with over 70 different models, and produces 20 different tire widths, with aspect ratios from 20 to 85, and tire diameters between 15 and 20 inches. As mentioned previously, ATC produces more than 200 different tires and sizes in the Memphis plant and employs between 2,000 to 3,000 employees during its slow and busy seasons, respectively.

As the Controller of ATC, Alfred Olson has gathered data after the automation of the Memphis manufacturing plant. He has provided this data in a Microsoft Excel spreadsheet file referred to as Data Set 1. In this data file, he has provided the total conversion costs and direct labor hours for 48 daily observations.

Data Set 1 provides enough data to do a simple regression model and/or measure the correlation between variables. Again, Alfred is concerned with the relationship between total conversion costs and direct labor hours, because of the investment in new technology. Currently, ATC allocates conversion costs using direct labor hours based on an average of the 48 observations. In other words, ATC finds the sum of the total conversion costs and direct labor hours over the 48 observations. Then ATC finds the predetermined conversion costs rate by dividing the total conversion costs by the total direct labor hours. Meanwhile, material costs are assigned directly to the tires. Direct labor costs are assigned as part of the conversion costs.

Last month, ATC manufactured 20,000 ATC/A105 and 5,000 ATC/B107 tires. ATC/A105 is a more popular tire that is produced in larger batches than ATC/B107. Additionally, the average direct materials costs for ATC/A105 and ATC/B107 are $55 and $80, respectively. While the ATC/A105 fits on a common family car or van, the ATC/B107 is not suitable for the family vehicles because it is a larger tire.

The direct labor hours used to produce ATC/A105 and ATC/B107 last month were:

ATC/A105 – 9,000 direct labor hours

ATC/B107 – 3,000 direct labor hours

REFERENCES

Eldenburg, Leslie G., & Wolcott, Susan K. (2011). Cost Management: Measuring, Monitoring, and Motivating Performance (2nd ed.). John Wiley & Sons, Inc.

Kimmel, Paul D., Weygandt, Jerry J., & Kieso, Donald E. (2016). Accounting: Tools for Business Decision Making (6th ed.). John Wiley & Sons, Inc.

Case 1:

Alfred Olson has provided you with the first data set. Also, he has informed you that ATC is currently assigning conversion costs to all tires based on the average conversion cost per direct labor hour for the 48 observations.

James Jetter, the CEO of ATC, would like to know the total product costs and unit costs for ATC/A105 and ATC/B107. In addition to the total product costs and unit costs for ATC/A105 and ATC/B107, he would also like to know the strength of the relationship between direct labor hours and total conversion costs. Has this relationship improved or weakened since automation?

Provide James Jetter with a short paper summarizing your findings. This short paper should 1) summarize the information and findings of your analysis, such as production cost per tire, 2) compare the results of your current correlation analysis with the correlation analysis prior to automation, and 3) discuss your suggestions on how to improve the overall calculation of total product and unit costs for the different tires.

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